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Finding the Fourth Proportional to 12,359.76, 18,540.51 and 4,964.22

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Solution

The fourth proportional to 12,359.76, 18,540.51 and 4,964.22 is: 7,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.76 : 18,540.51 = 4,964.22 : x
  2. Step 2: Convert to fraction form
    12,359.76/18,540.51 = 4,964.22/x
  3. Step 3: Cross multiply
    12,359.76x = 18,540.51 × 4,964.22
  4. Step 4: Simplify right side
    12,359.76x = 92,039,145.73
  5. Step 5: Solve for x
    x = 92,039,145.73/12,359.76
  6. Step 6: Final answer
    x = 7,446.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.